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Finding the Fourth Proportional to 265.57, 366.48 and 149.14

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Solution

The fourth proportional to 265.57, 366.48 and 149.14 is: 205.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    265.57 : 366.48 = 149.14 : x
  2. Step 2: Convert to fraction form
    265.57/366.48 = 149.14/x
  3. Step 3: Cross multiply
    265.57x = 366.48 × 149.14
  4. Step 4: Simplify right side
    265.57x = 54,656.83
  5. Step 5: Solve for x
    x = 54,656.83/265.57
  6. Step 6: Final answer
    x = 205.81

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.